56738016 has 96 divisors (see below), whose sum is σ = 167438880. Its totient is φ = 18690048.

The previous prime is 56737997. The next prime is 56738023. The reversal of 56738016 is 61083765.

56738016 is a `hidden beast` number, since 567 + 3 + 80 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83470 + ... + 84146.

It is an arithmetic number, because the mean of its divisors is an integer number (1744155).

Almost surely, 2^56738016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56738016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83719440).

56738016 is an abundant number, since it is smaller than the sum of its proper divisors (110700864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56738016 is a wasteful number, since it uses less digits than its factorization.

56738016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 56738016 is about 7532.4641386468. The cubic root of 56738016 is about 384.2595900984.

It can be divided in two parts, 5673 and 8016, that added together give a square (13689 = 117²).

The spelling of 56738016 in words is "fifty-six million, seven hundred thirty-eight thousand, sixteen".